Journal of inequalities and applications | |
Generalized fixed point theorems for multi-valued α - ψ -contractive mappings | |
Nawab Hussain1  | |
关键词: metric space; fixed point; α-ψ-contraction; | |
DOI : 10.1186/1029-242X-2014-348 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
The aim of this paper is to establish certain new fixed point results for multi-valued as well as single-valued maps satisfying an α-ψ-contractive conditions in complete metric space. As an application, we derive some new fixed point theorems for ψ-graphic contractions defined on a metric space endowed with a graph as well as an ordered metric space. The presented results complement and extend some very recent results proved by Asl et al. (Fixed Point Theory Appl. 2012:212, 2012) and Samet et al. (Nonlinear Anal. 75:2154-2165, 2012) as well as other theorems given by Hussain et al. (Fixed Point Theory Appl. 2013:212, 2013). Some comparative examples are constructed which illustrate the superiority of our results to the existing ones in the literature. MSC:46S40, 47H10, 54H25.
【 授权许可】
CC BY
【 预 览 】
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